$19.$ What is the difference in the monthly payments between the following $20$ year fixed rate loan options for a home purchased for $$465,000.$ The first is a fully$-$amortizing loan with a $10\%$ downpayment at an interest rate of $6\mathrm{.}10\%.$ The second is a partially amortizing loan with a $5\%$ downpayment and a $30\%$ balloon payment at the end of the loan. The interest rate for this loan is $6\mathrm{.}50\%.10.$ What is the difference in the total repayments between the two loans described in Question $19?$ Calculate the difference as Option A minus Option B$.$a$)-$$$59,743\mathrm{.}16$b$)$ $$150,850\mathrm{.}24$c$)$ $$175,468\mathrm{.}66$d$)$ $$119,952\mathrm{.}43$